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Zepler [3.9K]
3 years ago
10

2/9n + 1/2 = 2/3(n+3) what does n equal?

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
7 0
\dfrac{2}{9}n+\dfrac{1}{2}=\dfrac{2}{3}(n+3)\ \ \ \ \ |multiply\ both\ sides\ by\ 18\\\\2\cdot2n+9=6\cdot2(n+3)\\\\4n+9=12(n+3)\\\\4n+9=12n+36\ \ \ \ |subtract\ 9\ from\ both\ sides\\\\4n=12n+27\ \ \ \ |subtract\ 12n\ from\ both\ sides\\\\-8n=27\ \ \ \ \ |divide\ both\ sides\ by\ (-8)\\\\n=-\dfrac{27}{8}\\\\n=-3\dfrac{3}{8}
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Write the equation of the line that passes through the points (7,-4)and (−7,1). Put your answer in fully reduced point-slope for
Alika [10]

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Answer:

  y +4 = -5/14(x -7)

Step-by-step explanation:

The slope can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-4))/(-7-7) = 5/-14 = -5/14

The point-slope form is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

Filling in the given values, we have ...

  y +4 = -5/14(x -7)

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There are 8 squares and 25% are red how many are blue
REY [17]
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3 years ago
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What is the equation of the line that passes through the point (-2,0) and has a slope of -2?​
prohojiy [21]

Answer:

so the equation is y=-2x-4

Step-by-step explanation:

sub the points in the equation to find the y-intercept

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6 0
3 years ago
Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (neg
Eva8 [605]

Given:

The given expression is:

(-4x+9)^2

According to Kylie,

(-4x+9)^2=(-4x)^2+(9)^2

(-4x+9)^2=16x^2+81

To find:

The correct statement for Kylie's explanation.

Solution:

We have,

(-4x+9)^2

According to the perfect square trinomial (a+b)^2=a^2+2ab+b^2.

(-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2

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